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Finding the Third Proportional to 874,756.34 and 1,357,674.22

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Solution

The third proportional to 874,756.34 and 1,357,674.22 is: 2,107,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,756.34 : 1,357,674.22 = 1,357,674.22 : x
  2. Step 2: Convert to fraction form
    874,756.34/1,357,674.22 = 1,357,674.22/x
  3. Step 3: Cross multiply
    874,756.34x = 1,357,674.22 × 1,357,674.22
  4. Step 4: Simplify right side
    874,756.34x = 1,843,279,294,865.12
  5. Step 5: Solve for x
    x = 1,843,279,294,865.12/874,756.34
  6. Step 6: Final answer
    x = 2,107,191.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.